Search a number
-
+
1344678444 = 2232173170877
BaseRepresentation
bin101000000100110…
…0010101000101100
310110201020202001100
41100021202220230
510223214202234
6341233043100
745215402214
oct12011425054
93421222040
101344678444
116300438aa
123163b6490
1318577c125
14ca831244
157d0b8399
hex50262a2c

1344678444 has 72 divisors (see below), whose sum is σ = 3715141248. Its totient is φ = 408245760.

The previous prime is 1344678437. The next prime is 1344678479. The reversal of 1344678444 is 4448764431.

It is a happy number.

1344678444 is a `hidden beast` number, since 134 + 4 + 6 + 78 + 444 = 666.

It is a super-2 number, since 2×13446784442 = 3616320235516522272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1344678444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16467 + ... + 54410.

It is an arithmetic number, because the mean of its divisors is an integer number (51599184).

Almost surely, 21344678444 is an apocalyptic number.

It is an amenable number.

1344678444 is an abundant number, since it is smaller than the sum of its proper divisors (2370462804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344678444 is a wasteful number, since it uses less digits than its factorization.

1344678444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70935 (or 70930 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 1344678444 is about 36669.8574308655. The cubic root of 1344678444 is about 1103.7553313350.

The spelling of 1344678444 in words is "one billion, three hundred forty-four million, six hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 70877 141754 212631 283508 425262 637893 850524 1204909 1275786 2197187 2409818 2551572 3614727 4394374 4819636 6591561 7229454 8788748 10844181 13183122 14458908 19774683 21688362 26366244 37352179 39549366 43376724 74704358 79098732 112056537 149408716 224113074 336169611 448226148 672339222 1344678444